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Finding the Third Proportional to 164,357,690.63 and 361,586,524.50

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Solution

The third proportional to 164,357,690.63 and 361,586,524.50 is: 795,489,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,357,690.63 : 361,586,524.50 = 361,586,524.50 : x
  2. Step 2: Convert to fraction form
    164,357,690.63/361,586,524.50 = 361,586,524.50/x
  3. Step 3: Cross multiply
    164,357,690.63x = 361,586,524.50 × 361,586,524.50
  4. Step 4: Simplify right side
    164,357,690.63x = 130,744,814,699,989,104
  5. Step 5: Solve for x
    x = 130,744,814,699,989,104/164,357,690.63
  6. Step 6: Final answer
    x = 795,489,485.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.